Least Common Multiple of 5112 and 5117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5112 and 5117 the smallest integer that is 26158104 that is divisible by both numbers.

Least Common Multiple (LCM) of 5112 and 5117 is 26158104.

LCM(5112,5117) = 26158104

LCM of 5112 and 5117

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5112 and 5117

LCM of 5112 and 5117 is 26158104

Least common multiple can be found by multiplying the highest exponent prime factors of 5112 and 5117. First we will calculate the prime factors of 5112 and 5117.

Prime Factorization of 5112


2 5112
2 2556
2 1278
3 639
3 213
71 71
1

Prime factors of 5112 are 2, 3,71. Prime factorization of 5112 in exponential form is:

5112 = 23×32×711

Prime Factorization of 5117


7 5117
17 731
43 43
1

Prime factors of 5117 are 7, 17,43. Prime factorization of 5117 in exponential form is:

5117 = 71×171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 5112 and 5117.

LCM(5112,5117) = 23×32×71×171×431×711
LCM(5112,5117) = 26158104

Factors of 5112

List of positive integer factors of 5112 that divides 5112 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112

Factors of 5117

List of positive integer factors of 5117 that divides 5117 without a remainder.

1, 7, 17, 43, 119, 301, 731, 5117

Least Common Multiple of 5112 and 5117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5112 and 5117, than apply into the LCM equation.

GCF(5112,5117) = 1
LCM(5112,5117) = ( 5112 × 5117) / 1
LCM(5112,5117) = 26158104 / 1
LCM(5112,5117) = 26158104

Properties of LCM 5112 and 5117

(i) The LCM of 5117 and 5112 is associative

LCM of 5112 and 5117 = LCM of 5117 and 5112

Related Least Common Multiples of 5112

Related Least Common Multiples of 5117

Frequently Asked Questions on LCM of 5112 and 5117

1. What is the LCM of 5112 and 5117?

Answer: LCM of 5112 and 5117 is 26158104.

2. What are the Factors of 5112?

Answer: Factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112. There are 24 integers that are factors of 5112. The greatest factor of 5112 is 5112.

3. What are the Factors of 5117?

Answer: Factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117. There are 8 integers that are factors of 5117. The greatest factor of 5117 is 5117.

4. How to Find the LCM of 5112 and 5117?

Answer:

Least Common Multiple of 5112 and 5117 = 26158104

Step 1: Find the prime factorization of 5112

5112 = 2 x 2 x 2 x 3 x 3 x 71

Step 2: Find the prime factorization of 5117

5117 = 7 x 17 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 26158104 = 2 x 2 x 2 x 3 x 3 x 7 x 17 x 43 x 71

Step 4: Therefore, the least common multiple of 5112 and 5117 is 26158104.